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Finding the Fourth Proportional to 21,148.75, 31,710.83 and 8,002.13

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Solution

The fourth proportional to 21,148.75, 31,710.83 and 8,002.13 is: 11,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.75 : 31,710.83 = 8,002.13 : x
  2. Step 2: Convert to fraction form
    21,148.75/31,710.83 = 8,002.13/x
  3. Step 3: Cross multiply
    21,148.75x = 31,710.83 × 8,002.13
  4. Step 4: Simplify right side
    21,148.75x = 253,754,223.33
  5. Step 5: Solve for x
    x = 253,754,223.33/21,148.75
  6. Step 6: Final answer
    x = 11,998.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.